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arxiv: 2010.09179 · v2 · pith:B7TIVCXHnew · submitted 2020-10-19 · 🧮 math.DG

Hamilton type entropy formula along the Ricci flow on surfaces with boundary

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keywords entropytypealongboundaryflowformulafunctionalhamilton
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In this article, we establish a monotonicity formula of Hamilton type entropy along Ricci flow on compact surfaces with boundary. We also study the relation between our entropy functional and the $\mathcal{W}$-functional of Perelman type.

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